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Finding the Fourth Proportional to 463.02, 638.68 and 315.72

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Solution

The fourth proportional to 463.02, 638.68 and 315.72 is: 435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.02 : 638.68 = 315.72 : x
  2. Step 2: Convert to fraction form
    463.02/638.68 = 315.72/x
  3. Step 3: Cross multiply
    463.02x = 638.68 × 315.72
  4. Step 4: Simplify right side
    463.02x = 201,644.05
  5. Step 5: Solve for x
    x = 201,644.05/463.02
  6. Step 6: Final answer
    x = 435.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.